A344914 T(n, k) = 2^(3*k)*(n - 3*k)!, for n >= 0 and 0 <= k <= floor(n/3). Triangle read by rows.

1, 1, 2, 6, 8, 24, 8, 120, 16, 720, 48, 64, 5040, 192, 64, 40320, 960, 128, 362880, 5760, 384, 512, 3628800, 40320, 1536, 512, 39916800, 322560, 7680, 1024, 479001600, 2903040, 46080, 3072, 4096, 6227020800, 29030400, 322560, 12288, 4096

Offset

0,3

Links

Table of n, a(n) for n=0..39.

Example

[ 0] 1;
[ 1] 1;
[ 2] 2;
[ 3] 6,         8;
[ 4] 24,        8;
[ 5] 120,       16;
[ 6] 720,       48,      64;
[ 7] 5040,      192,     64;
[ 8] 40320,     960,     128;
[ 9] 362880,    5760,    384,   512;
[10] 3628800,   40320,   1536,  512;
[11] 39916800,  322560,  7680,  1024;
[12] 479001600, 2903040, 46080, 3072, 4096;

Maple

T := (n, k) -> 2^(3*k)*(n-3*k)!: seq(seq(T(n, k), k = 0..n/3), n = 0..13);

Mathematica

Table[2^(3k) (n-3k)!, {n, 0, 20}, {k, 0, Floor[n/3]}]//Flatten (* Harvey P. Dale, Feb 13 2022 *)

Crossrefs

Cf. A000142, A138230.

Sequence in context: A153802 A217019 A240644 * A068496 A340810 A334898

Adjacent sequences: A344911 A344912 A344913 * A344915 A344916 A344917

Keyword

nonn,tabf

Author

Peter Luschny, Jun 06 2021

Status

approved